A093570 - OEIS

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A093570

a(n) = Product_{k=1..n}(k + prime(k)).

3, 15, 120, 1320, 21120, 401280, 9630720, 260029440, 8320942080, 324516741120, 13629703127040, 667855453224960, 36064194474147840, 2055659085026426880, 127450863271638466560, 8794109565743054192640, 668352326996472118640640

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OFFSET

1,1

COMMENTS

a(n) < A000142(n) + A002110(n) for n>1;

a(n) = Product_{k=1..n}A014688(k).

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..342

MATHEMATICA

Table[ Product[k + Prime[k], {k, n}], {n, 17}] (* Robert G. Wilson v, Apr 07 2004 *)

FoldList[Times, Table[m+Prime[m], {m, 20}]] (* Harvey P. Dale, Jun 04 2023 *)

CROSSREFS

Cf. A093572, A093571.

Sequence in context: A112228 A260511 A093571 * A107869 A156360 A160884

Adjacent sequences: A093567 A093568 A093569 * A093571 A093572 A093573

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Apr 01 2004

EXTENSIONS

More terms from Robert G. Wilson v, Apr 07 2004

STATUS

approved